lower bound: | 84 |
upper bound: | 88 |
Construction of a linear code [141,9,84] over GF(3): [1]: [141, 9, 84] Linear Code over GF(3) Code found by Axel Kohnert Construction from a stored generator matrix: [ 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0 ] [ 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1 ] [ 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2 ] [ 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0 ] [ 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1 ] [ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1 ] [ 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2 ] last modified: 2008-09-01
Lb(141,9) = 82 is found by truncation of: Lb(143,9) = 84 DGM Ub(141,9) = 88 Gur
Gur: Sugi Guritman, Restrictions on the weight distribution of linear codes, Thesis, Techn. Univ. Delft, 2000.
Notes
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